The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in miles per hour in which she is traveling.

Answers

Answer 1

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (\(v\)), measured in inches per second, is defined by following expression:

\(v = R\cdot \omega\) (1)

Where:

\(R\) - Radius of the wheel, measured in inches.

\(\omega\) - Angular speed, measured in radians per second.

If we know that \(R = 11\,in\) and \(\omega \approx 39.584\,\frac{rad}{s}\), then the linear speed, measured in miles per hour, in which Darlene is traveling is:

\(v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}\)

\(v \approx 24.74\,\frac{mi}{h}\)

The linear speed in which Darlene is traveling is 24.74 miles per hour.


Related Questions

Given that -5 ∆ x = 106, find x.

Answers

Answer:

Draw the virtual load and show its magnitude on the figure in the answer sheet to calculate the maximum deflection, Amax, using Castigliano's Second Theorem. (b)

Step-by-step explanation:

Determine the moment equations of the segment AB, MAB(x), and BC, MBC (X), to calculate Amax using Castigliano's Second Theorem (including P terms, use the given x-coordinate, in m and kN unit). (C) Determine the maximum deflection, Amax, using Castigliano's Second Theorem (clearly show the integration equation in your calculation process).

Lines A and B are parallel A 1,2,50°,4 B 5, 6 ,78 ,m 2 = [?]°​

Lines A and B are parallel A 1,2,50,4 B 5, 6 ,78 ,m 2 = [?]

Answers

Ok so I’m good at math so I’m going to say It’s 50

Algebraic expression for 7 11 16 22 29

Answers

Answer:

37

Step-by-step explanation:

what is the answer for this question
(0-1)(0+1)

Answers

Answer:

Step-by-step explanation:

-1

Simplify the question !! :))

Simplify the question !! :))

Answers

Answer:

We combine like terms to get \(10x^{2} + 3x - 6\)

Hope this helps!

10x2 (10 x squared) + 3x - 6

Which is greater, 20% or 0.02?

Answers

Answer:

20% is greater

Step-by-step explanation:

0.02 is only 2%

Answer:

20%

Step-by-step explanation:

to change .02 into a percent, you move the decimal over twice or multiply it by 100. leaving it to be 2%

Need to know if I am correct. Image is provided

Need to know if I am correct. Image is provided

Answers

Answer:

yes your answer is correct

Decide if each statement below is true or false. "Explain how you know". please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(
a. -19+7=-7+19
b. 4/5 · 1=4/5
c. 3/2 ·2/3=1
d. 5·7-5 · 1/5=34

Answers

Therefore , the solution of the given problem of expression comes out to be the multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.

Define expression.

Mathematical processes such as multiplying, dividing, adding, and even deleting are necessary. If they were combined, the following statement would result: An equation, some statistics, and a mathematical formula Values, components, and mathematical processes like additions, subtractions, algebraic expressions, and divisions make up a statement of truth. Words and sentences can be analysed and ranked.

Here,

a. Accurate. The commutative property of addition says that the sum remains constant regardless of the addends' order. As a result, -19+7 is equivalent to 7-19, which is equivalent to -12+19.

b. True. Any integer is itself when multiplied by 1. As a result, 4/5 + 1 equals 4/5.

c. Accurate. One is obtained by multiplying two reciprocals. As a result, 3/2 2/3 equals 32 23, which is reduced to 1.

d. Correct. The multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.

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Dr.Patterson just started an experiment .she will collect data for 8 days .How many hours is this​

Answers

Answer:

192h

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

there are 24 hours in a day and the experiment is 8 days so 24×8=192

PLEASE PLEASE HELP whats the origin of the number zero (pls give me interesting info its for a math project)​​

Answers

Please Brainliest

The origin of the number zero is believed to be ancient India, where it was invented as a placeholder in the decimal system around the 5th century CE. The concept of zero as a number in its own right was a revolutionary idea that greatly advanced mathematical understanding and allowed for much more efficient mathematical calculation. From India, the use of zero spread to the Islamic world and eventually to the West. The modern representation of zero as a circle or a digit was introduced in the 13th century in India.

I need help, if its easy to answer shame on me lol

Answers

Answer:

what is the question? may i help u if i can !

What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)?
parallelogram
rhombus
quadrilateral
rectangle

Answers

Answer:

The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.

To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.

Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1

Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1

Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0

Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0

We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.

While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.

Step-by-step explanation:

Which explains how to find the question of the division below


-3 1/3 divided by 4/9

Which explains how to find the question of the division below-3 1/3 divided by 4/9

Answers

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

Geoffrey used 7 out of his 20 tokens on one game at the arcade. What is this fraction written as a decimal?

Answers

Answer:

0.35

Step-by-step explanation:

\(\frac{7}{20}\)

  20 ) 7   ( 0.35

          0

           70

          60

            100

            100

                0

Answer:

7\20 as a decimal is

0.35

Evaluate x/y when x=9/4 and y=3/5

Answers

Answer:

\(\displaystyle x/y=\frac{15}{4}\)

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

\(\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}\)

We will evaluate x/y when x=9/4 and y=3/5:

\(\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}\)

\(\displaystyle=\frac{45}{12}\)

Simplifying:

\(\displaystyle \boxed{x/y=\frac{15}{4}}\)

Which statement comparing ​|−12|​ and ​|8|​ is true?Which statement comparing ​|−12|​ and ​|8|​ is true?

Answers

Answer:

The second one

Step-by-step explanation:

He got it right cause I got it right

BEG is a triangle ABC And DEF are parellell lines

Answers

Answer:

What is the question?

Step-by-step explanation:

A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623v

Answers

Answer:

Whats ur quetsion?

make x subject of m =n + x/p

Answers

Answer:

\(x = p(m-n)\)

Step-by-step explanation:

m = n + \(\frac{x}{p}\)

Subtracting n to both sides

=> m-n = \(\frac{x}{p}\)

Multiplying p to both sides

=> \(x = p(m-n)\)

Answer:

x=p(m-n)

Step-by-step explanation:

m =n + x/p

x/p=m-n

x=p(m-n)

A rider is riding a bicycle on a 6-foot wall at a rate of 1 foot per second. The wheels have a radius of 1 foot, and a piece of gum becomes stuck to the rear wheel as shown, continuing to travel with the bicycle. Find the following (take ground level to be 0): Gum’s minimum height: ft Gum’s maximum height: ft.

Answers

The piece of gum is stuck to the rear wheel. Then the minimum height is 8ft and the maximum height is 8ft from the ground.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A rider is riding a bicycle on a 6-foot wall at a rate of 1 foot per second.

The wheels have a radius of 1 foot, and a piece of gum becomes stuck to the rear wheel as shown, continuing to travel with the bicycle.

Then the diameter of the rear wheel is 2 ft.

A rider is riding a bicycle on a 6-foot wall, therefore the height of the lowest point of the rear wheel is 6 ft from the ground. And the highest point of the rear wheel is (6 + 2 = ) 8 ft.

If the piece of gum is stuck to the rear wheel, hence the minimum height is 8ft and the maximum height is 8ft from the ground.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

minimum 6ft, max 8 ft

Step-by-step explanation:

What is the perimeter of the figure?

5cm
3cm
2cm
1cm
_________________________

o11.0 cm

o25.0 cm2

o20.0 cm

o23.0 cm2

Answers

Answer:

11cm

Step-by-step explanation:

The perimeter is the sum of all sides

A doctor has found​ that, over the​ years, 95% of the babies he has delivered weighed |x​-7.9|<1.5 pounds. What range of weights corresponds to this​ inequality?

Answers

Answer: 6.4 < x < 9.4

Work Shown:

| x-7.9 | < 1.5

-1.5 < x-7.9 < 1.5

-1.5+7.9 < x-7.9+7.9 < 1.5+7.9

6.4 < x < 9.4

x is between 6.4 and 9.4, excluding both endpoints

The doctor observed over the years that 95% of the babies weighs greater than 6.4 pounds and less than 9.4 pounds.

What is inequality ?

Inequality is a mathematical tool for comparing non-equal values.

According to the given question a doctor has found​ that, over the​ years, 95% of the babies he has delivered weighed |x​-7.9|<1.5 pounds we have to find the range of weights corresponding to this inequality.

|x​-7.9|<1.5

∴ x - 7.9 < 1.5

  x < 1.5 + 7.9

  x < 9.4.

OR

- ( x - 7.9 ) < 1.5

- x + 7.9 < 1.5

- x < 1.5 - 7.9

- x < - 6.4      ( think of moving the terms to other side to make it positive

x > 6.4.                                                        and inequality also changes )

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Find the measure of the side indicated​

Find the measure of the side indicated

Answers

Answer:

D is the right answer

Step-by-step explanation:

The populations of Cities A and B are 1.6 x 10^5 and 1,070,000​, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City​ A?

Answers

Answer:

13

Step-by-step explanation:

First find the population of city c 1,070,000 times 2 = 2140000

Round 2140000 to the nearest hundred thousands = 2,100,000

Third find how many places the decimal moves which is 6 places

Fourth scientific notation of 2,100,00 is 2.1 times 10^6

Fifth divided city c by the population of city a

2.1x 10^6 divided by 1.6 x 10^5

2.1 / 1.6 rounded is 1.3

10^6 divided by 10 ^ 5 is 10

Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13

The population of city c is about 13 times the population of city a

if f(x) = x+1, and g(x) = 2, thenf(g(x)) = __ x + __

if f(x) = x+1, and g(x) = 2, thenf(g(x)) = __ x + __

Answers

\(f(g(x))=g(x)+1=2x+1\)

Can someone help :) Might have to use pythagorean theorem?

Can someone help :) Might have to use pythagorean theorem?

Answers

The correct statement in the expression is as follows;

x² + y² > 1

x > y

How to solve an expression?

The value of x and y are as follows:

x = √12 / 2√2

y = √3 / 4

Hence, let's find the statements that is correct for the expressions.

Therefore, let's check as follows:

x / y = 2

x / y = √12 / 2√2 ÷ √3 / 4 = √12 / 2√2  × 4 / √3 = 4√12 / 2√6 = 8√3 / 2√6

Therefore, it is incorrect

x² + y² > 1

(√12 / 2√2 )² + (√3 / 4)²

12 / 8  + 3 / 16 =  24 + 3 / 16 = 27 / 16

Therefore,

27 / 16 > 1

Hence, this statement is correct.

√12 / 2√2 > √3 / 4

2√3 / 2√2 > √3 / 4

√3 / √2 > √3 / 4

x > y

Therefore, the statement is correct

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By working with the square roots we can see that the true statements are the second and third ones.

Which of the following statements are true?

Here we know that:

x = √12/(2*√2)

y = √3/4

We can rewrite the first expression by grouping the square root.

x = √12/(2*√2) = (1/2)*√(12/2)

x = (1/2)*√6 = √(6/4) = √(3/2)

The other variable can be rewritten as:

y  = √3/4 = √(3/16)

So we can see that:

x > y  (the denominator of x is smaller)

We also can see that:

x^2 + y^2 = 3/2 + 3/16 > 1

That is larger than 1 because x is larger than 1.

And the quotient gives:

x/y = (√(3/2))/(√(3/16)) = √(16/2) = √8

So the correctstatements are the second one and the third one.

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Gavin needs to make 2 batches of Sunrise Orange paint. Explain how you could find the total amount of paint Gavin mixed?

Answers

Answer:

The answer is "Gavin combined paint to  to produce 2 mango paint containers"

Step-by-step explanation:

For the development of Mango shade, Gavin used the red and the yellow colour.  He wants to add one batch:

5 5/6 + 5 5/6

For 2 batches:

5 5/6 + 5 5/6 +5 5/6 + 5 5/6

Solve the equation in two parts:

First Solving the whole numbers:

5+5+5+5 =20

Second Solving the fractions part :

=5/6 + 5/6 +5/6 + 5/6

= 5 + 5 + 5 + 5 / 6

=20/6

=10/3

Gavin combined paint to  to produce 2 mango paint containers.

Kinda a hard one

“The beautiful thing about learning is that nobody can take it away from you.”

To find the total amount of Sunrise Orange paint that Gavin mixed for the 2 batches, you would need to know the amount of paint he mixed for each batch. Let's assume that he mixed the same amount of paint for each batch, which we will call "x".

To find the total amount of paint he mixed, you can use the formula:

Total amount of paint = amount of paint for batch 1 + amount of paint for batch 2

We can substitute "x" for both amounts of paint and get:

Total amount of paint = x + x

Simplifying, we get:

Total amount of paint = 2x

Therefore, to find the total amount of Sunrise Orange paint that Gavin mixed for the 2 batches, you just need to multiply the amount of paint in one batch by 2.

Pls help. i am failing math rn and this will help me

Pls help. i am failing math rn and this will help me

Answers

Although chameleons make up a smaller percentage of Mrs. Cabana's overall number of pets than fish do, the ratio for her animals are 3:8 and 5:8, respectively.

Three of Mrs. Cabana's eight pets are chameleons, and the remaining six are fish. When two numbers are related, a ratio is displayed that indicates how many times one number contains the other. The ratio of chameleons to the total number of pets, or the ratio of fish to the total number of pets, can be expressed in this situation.

There are 3:8 chameleons for every pet there is. This implies that there are a total of 8 pets for every 3 chameleons.

Fish make up 5:8 of the overall number of pets. This implies that there are a total of 8 pets for every 5 fish.

As it has nothing to do with the amount of pets Mrs. Cabana owns, the ratio of 3 to 11 does not indicate a ratio relationship for her animals.

Because it is unrelated to the quantity of chameleons or fish Mrs. Cabana has, the ratio of 8:1 does not represent a proportionate relationship for her pets.

Because the fraction 3/5 only shows the proportion of chameleons Mrs. Cabana possesses and not the overall number of pets, it does not represent a proportional connection for her animals.

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Find the value of x
Find the value of y

Find the value of x Find the value of y

Answers

Answer:

x = 9

y = 61

Step-by-step explanation:

let me know if you want an explanation!

- 2.5f + 0.4f - 15 - 4

Answers

Answer:

Simplify the f's variables -2.1

Simplify the numbers -19

-2.1f -19 is the answer

-2.1f -19

Answer-2.1f-24:

Step-by-step explanation:

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